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Interference fringes are produced by a d...

Interference fringes are produced by a double slit arrangement
and a piece of plane parallel glass of refractive index 1.5 is interposed in one of
the interfering beam. If the fringes are displaced through 30 fringe widths for
light of wavelength `6xx 10^(-5) cm`, find the thickness of the plate.

Text Solution

Verified by Experts

Path difference due to the glass slab `Deltax=(mu-1)t`
Thirty fringes are displaced due to the slab Hence
`Deltax= 30lambda`
`rArr (mu-1)t=30lambda`
`:. T=(30lambda)/(mu-1)=(30xx6xx10^(-5))/(1.5-1)=3.6xx10^(-3)cm`
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